Seats for English, Hindi and French in a school are in the ratio 8:6:5. There is a proposal to increase these seats by 50%, 80% and 100% respectively. Find the new ratio of the seats?

Appeared in: DSSSB - 28 August 2019 (Shift-1)

Explanation

The initial ratio of seats is 8:6:5.
The seats are increased by 50%, 80%, and 100% respectively.
New English seats part of the ratio: 8 * (1 + 50/100) = 8 * 1.5 = 12.
New Hindi seats part of the ratio: 6 * (1 + 80/100) = 6 * 1.8 = 10.8.
New French seats part of the ratio: 5 * (1 + 100/100) = 5 * 2 = 10.
The new un-simplified ratio is 12 : 10.8 : 10. Multiplying by 10 gives 120 : 108 : 100.

Option A: This option incorrectly simplifies or calculates the new ratio. It does not reflect the correct percentage increases applied to the original ratio parts.
Option B: This option is an incorrect calculation and does not correspond to the percentage increases provided in the problem.
Option C: This option has the correct numbers (30, 27, 25) but they are in the wrong order. The ratio for English seats (30) and Hindi seats (27) has been swapped.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Ratio and Proportion, Percentage Increase as background academic context rather than a clinical decision trigger.
This is a general aptitude question testing mathematical reasoning.
This type of question is not directly related to clinical nursing practice but is a common component of competitive examinations to assess logical and numerical ability.
What if? - If the stem changed one defining clue so that 30:27:25 no longer matched, reassess the option whose mechanism, classification, or indication now fits the revised presentation.

How to Approach the Question

First, identify the initial ratio given in the problem (8:6:5).
Next, note the percentage increase for each part of the ratio (50%, 80%, 100%).
Calculate the new value for each part of the ratio by applying the respective percentage increase. A 50% increase means multiplying by 1.5, an 80% increase means multiplying by 1.8, and a 100% increase means multiplying by 2.
Form the new ratio with the calculated values (12 : 10.8 : 10).
If the new ratio contains decimals, multiply all parts by a power of 10 (like 10, 100) to convert them into whole numbers (120 : 108 : 100).
Finally, simplify the resulting whole number ratio by dividing all parts by their greatest common divisor to find the simplest form (30 : 27 : 25).

Concept Tested & Keywords

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Practise the full DSSSB - 28 August 2019 (Shift-1)

Attempt every question from this paper in a timed mock, then review the full solution for each one.